Adaptive Integration of Cut Finite Elements and Cells for Nonlinear Structural Analysis

Publikationstyp
Book part
Date Issued
2020-02-09
Sprache
English
Author(s)
Düster, Alexander  
Hubrich, Simeon  
Institut
Konstruktion und Festigkeit von Schiffen M-10  
TORE-URI
http://hdl.handle.net/11420/5414
First published in
Courses and lectures / CISM International Centre for Mechanical Sciences  
Start Page
31
End Page
73
Citation
CISM International Centre for Mechanical Sciences, Courses and Lectures (599): 31-73 (2020)
Publisher DOI
10.1007/978-3-030-37518-8_2
Scopus ID
2-s2.0-85079453463
Publisher
Springer
ISBN
978-3-030-37517-1
978-3-030-37518-8
Fictitious domain methods facilitate the discretization of boundary value problems by applying simple meshes containing finite elements or cells that do not conform to the geometry of the domain of interest. In this way, the effort of meshing complex domains is shifted to the numerical integration of those elements/cells that are cut by the boundary of the domain. In this chapter, we will first introduce a high-order fictitious domain method and then present adaptive methods that are suited for the numerical integration of broken elements and cells. Since the quadrature schemes presented in this chapter are quite general, they can be applied to the different versions of fictitious domain methods.
DDC Class
600: Technology